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On the characteristic of integral point sets in $\mathbb{E}^m$

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arxiv math/0511704 v1 pith:3PNFKISV submitted 2005-11-29 math.CO

Sascha Kurz This is my paper · ORCID
classification math.CO
keywords integralpointcharacteristicsetsalgorithmableconstructiondefinition
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We generalise the definition of the characteristic of an integral triangle to integral simplices and prove that each simplex in an integral point set has the same characteristic. This theorem is used for an efficient construction algorithm for integral point sets. Using this algorithm we are able to provide new exact values for the minimum diameter of integral point sets.

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  1. On diameter bounds for planar integral point sets in semi-general position

    math.CO 2019-07 unverdicted novelty 5.0 of 10

    Proves a superlinear lower bound on the diameter of planar integral point sets in semi-general position.

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